Unsteady Contact Interaction of Liquid and Solid Bodies

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-08-28 DOI:10.1134/s1995080224602558

G. V. Fedotenkov, A. A. Orekhov, L. N. Rabinskiy

引用次数: 0

Abstract

The processes of unsteady contact interaction of liquids described by different mathematical models with solid deformable bodies are considered. Closed mathematical formulations of unsteady contact problems in the case of various models of liquids and linear-elastic bodies are developed. The analytical solution of the nonstationary problem of interaction between an acoustic fluid and a deformable solid body is obtained. The time integral Laplace transform is used to construct the solution. The distributions of displacements and stresses in the solid body, as well as pressure and velocity fields in the fluid during unsteady contact interaction are analyzed.

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液体和固体物体的非稳态接触相互作用

摘要研究了不同数学模型描述的液体与固体可变形体的非稳态接触相互作用过程。建立了各种液体模型和线性弹性体非稳态接触问题的封闭数学公式。获得了声学流体与可变形固体体之间相互作用的非稳态问题的解析解。解法采用时间积分拉普拉斯变换。分析了非稳态接触相互作用过程中固体中的位移和应力分布，以及流体中的压力和速度场。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

期刊介绍： Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.